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Finding the Fourth Proportional to 7,184.47, 9,913.08 and 4,199.73

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Solution

The fourth proportional to 7,184.47, 9,913.08 and 4,199.73 is: 5,794.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.47 : 9,913.08 = 4,199.73 : x
  2. Step 2: Convert to fraction form
    7,184.47/9,913.08 = 4,199.73/x
  3. Step 3: Cross multiply
    7,184.47x = 9,913.08 × 4,199.73
  4. Step 4: Simplify right side
    7,184.47x = 41,632,209.90
  5. Step 5: Solve for x
    x = 41,632,209.90/7,184.47
  6. Step 6: Final answer
    x = 5,794.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.